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Projective normality for some families of surfaces of general type
dc.contributor.advisor | Purnaprajna, Bangere | |
dc.contributor.author | Rajaguru, Biswajit | |
dc.date.accessioned | 2018-02-19T03:37:36Z | |
dc.date.available | 2018-02-19T03:37:36Z | |
dc.date.issued | 2017-08-31 | |
dc.date.submitted | 2017 | |
dc.identifier.other | http://dissertations.umi.com/ku:15416 | |
dc.identifier.uri | http://hdl.handle.net/1808/26022 | |
dc.description.abstract | In this thesis, we present the author's joint research with Lei Song, published in \cite{RS}. We show this: Suppose X is a minimal surface, which is a ramified double covering f:X- S, of a rational surface S, with dim |-K_S|= 1. And suppose L is a divisor on S, such that L.L= 7 and L. C= 3 for any curve C on S. Then K_X+f*L is base-point free and the natural map Sym^r(H^0(K_X+f*L))- H^0(r(K_X+f*L)), is surjective for all r=1. In particular this implies, when S is also smooth and L is an ample line bundle on S, that K_X+nf*L embeds X as a projectively normal variety for all n = 3. | |
dc.format.extent | 55 pages | |
dc.language.iso | en | |
dc.publisher | University of Kansas | |
dc.rights | Copyright held by the author. | |
dc.subject | Mathematics | |
dc.subject | anticanonical rational surfaces | |
dc.subject | mukai's conjecture | |
dc.subject | projective normality | |
dc.title | Projective normality for some families of surfaces of general type | |
dc.type | Dissertation | |
dc.contributor.cmtemember | Purnaprajna, Bangere | |
dc.contributor.cmtemember | Mandal, Satyagopal | |
dc.contributor.cmtemember | Lang, Jeffrey | |
dc.contributor.cmtemember | Greenberg, Marc | |
dc.contributor.cmtemember | Jiang, Yunfeng | |
dc.thesis.degreeDiscipline | Mathematics | |
dc.thesis.degreeLevel | Ph.D. | |
dc.identifier.orcid | ||
dc.rights.accessrights | openAccess |
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